\(C^*\)-algebras of operators on a half-space. I

DOI10.1007/BF02684693zbMath0241.47026MaRDI QIDQ2553781

Lewis A. Coburn, Ronald G. Douglas

Publication date: 1971

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1971__40__59_0

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) General theory of (C^*)-algebras (46L05) Abstract harmonic analysis (43-XX)

Related Items (24)

Wiener-Hopf operators on a subsemigroup of a discrete torsion free Abelian group ⋮ Toeplitz operators on the Hardy space over the infinite-dimensional polydisc ⋮ Cyclic cocycles, renormalization and eta-invariants ⋮ One-parameter semigroups of isometries ⋮ Wiener-Hopf equations and their applications in probability theory ⋮ Semigroup \(C^{*}\)-algebras and amenability of semigroups ⋮ Exact sequences of algebras generated by singular integral operators ⋮ On \(C^{*}\)-algebra of a semigroup of partial isometries ⋮ Eta-invariants and von Neumann algebras ⋮ Indextheorie für eine \(C^*\)-Algebra von Toeplitzoperatoren. (Index theory for a \(C^*\)-algebra of Toeplitz operators) ⋮ An index theorem for systems of difference operators on a half space ⋮ Spectrum and analytical indices of the \(C^{*}\)-algebra of Wiener--Hopf operators ⋮ Toeplitz operators for uniform algebras ⋮ Topological invariants and corner states for Hamiltonians on a three-dimensional lattice ⋮ Toeplitz operators and semigroups ⋮ \(C^*\)-algebras of operators on a half-space. II: Index theory ⋮ \(C^*\)-algebras of almost periodic pseudo-differential operators ⋮ Fredholm theories of mixed type with analytic index functions ⋮ Toeplitz operators on concave corners and topologically protected corner states ⋮ Note on the Joint Spectrum of the Wiener-Hopf Operators ⋮ Toeplitz Spectral Inclusion and Generalized in Modulus Property ⋮ Semigroups of isometries, Toeplitz algebras and twisted crossed products ⋮ Algebras almost commuting with Clifford algebras in a \(II_{\infty}\) factor ⋮ Semigroup C∗-Algebras

Cites Work

• Approximation by inner functions
• \(C^*\)-algebras of operators on a half-space. II: Index theory
• The 𝐶*-algebra generated by an isometry
• TRANSLATION OPERATORS ON THE HALF-LINE
• On Extending Commutative Semigroups of Isometries
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